WOLFRAM SYSTEM MODELER

Sugar_Cane

Model of osmosis process in sugar cane

Diagram

Wolfram Language

In[1]:=
SystemModel["SystemDynamics.IntroductoryExamples.Sugar_Cane"]
Out[1]:=

Information

The sugar cane model describes the processes of diffusion and osmosis in a sugar cane plant. The model was adapted from the STELLA manual.


References:

  1. Richmond, B., S. Peterson, and P. Vescuso (1987), An Academic User's Guide to STELLA, High Performance Systems, Inc., Lyme, N.H.


Simulate the model across 20 time units and plot on three separate graphs the two water concentrations (inside and outside), the two sugar concentrations, and the two volumes:

Outputs (6)

Water_conc_in

Type: Real

Description: Water concentration inside sugar cane

Water_conc_out

Type: Real

Description: Water concentration outside sugar cane

Sucr_conc_in

Type: Real

Description: Sugar concentration inside sugar cane

Sucr_conc_out

Type: Real

Description: Sugar concentration outside sugar cane

Vol_in

Type: Real

Description: Volume inside sugar cane

Vol_out

Type: Real

Description: Volume outside sugar cane

Components (30)

Source1

Type: Source

Description: This is the (dummy) source model of System Dynamics

Sucr_Gen

Type: Rate_1

Description: Unrestricted rate element with one influencing variable

C1

Type: Const

Description: A constant factor

Sucrose_Inside

Type: Level

Description: General System Dynamics level

Sink1

Type: Sink

Description: This is the (dummy) sink model of System Dynamics

Sucr_Depl

Type: Rate_1

Description: Unrestricted rate element with one influencing variable

Sucrose_Outside

Type: Level

Description: General System Dynamics level

Diffusion

Type: Rate_1

Description: Unrestricted rate element with one influencing variable

C2

Type: Const

Description: A constant factor

Source2

Type: Source

Description: This is the (dummy) source model of System Dynamics

Water_Gen

Type: Rate_1

Description: Unrestricted rate element with one influencing variable

C3

Type: Const

Description: A constant factor

Water_Outside

Type: Level

Description: General System Dynamics level

Osmosis

Type: Rate_1

Description: Unrestricted rate element with one influencing variable

Water_Inside

Type: Level

Description: General System Dynamics level

Water_Depl

Type: Rate_1

Description: Unrestricted rate element with one influencing variable

Sink2

Type: Sink

Description: This is the (dummy) sink model of System Dynamics

C4

Type: Const

Description: A constant factor

Vol_Outside

Type: Add

Description: Output the sum of the two inputs

Vol_Inside

Type: Add

Description: Output the sum of the two inputs

Sucr_Conc_Out

Type: Division

Description: Output first input divided by second input

Water_Conc_Out

Type: Division

Description: Output first input divided by second input

Sucr_Conc_In

Type: Division

Description: Output first input divided by second input

Water_Conc_In

Type: Division

Description: Output first input divided by second input

Perm_H2O

Type: Const

Description: A constant factor

Water_Grad

Type: Add

Description: Output the sum of the two inputs

Prod_2_1

Type: Prod_2

Description: Product of two influencing factors

Sucr_Grad

Type: Add

Description: Output the sum of the two inputs

Prod_2_2

Type: Prod_2

Description: Product of two influencing factors

Perm_Sucr

Type: Gain

Description: Gain factor